Name: capacitors in series and parallel
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 19 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Equivalent Capacitance

Considere una red de condensadores compleja con tres grupos de condensadores conectados en paralelo, y estos grupos se conectan en serie entre sí. Determine la capacitancia equivalente entre los terminales de este intrincado circuito.
Para resolver esto, primero se analiza el grupo en la parte inferior del circuito, que consta de cuatro condensadores conectados en paralelo. La suma de su capacitancia da una capacitancia equivalente, representada por un solo condensador C3.
A continuación, se considera el grupo intermedio, que tiene tres condensadores en paralelo. Nuevamente, la suma de sus capacitancias da la capacitancia equivalente C2.
Finalmente, considere el grupo superior, que tiene dos condensadores en paralelo. La capacitancia equivalente se calcula y representa con un condensador, C1.
Ahora, el complejo circuito se ha simplificado en tres condensadores conectados en serie.
Para determinar la capacitancia equivalente para esta combinación en serie, se toma la suma de los recíprocos de cada capacitancia, lo que da como resultado la inversa de la capacitancia equivalente.
Al reorganizar los términos, se obtiene la capacitancia equivalente de todo el circuito entre los terminales.

capacitancia equivalente

Del estudio de circuitos resistivos se desprende que emplear una combinación serie-paralelo sirve como una estrategia eficaz para simplificar circuitos. Los condensadores se pueden disponer dentro de un circuito de dos maneras: una configuración en serie o una configuración en paralelo. La forma en que estos capacitores están conectados a una batería influirá tanto en la caída de potencial en cada capacitor individual como en el tamaño de la carga que cada capacitor puede almacenar. Esto está determinado por el tipo específico de conexión existente. Para simplificar este escenario, la combinación de condensadores se puede sustituir por un único condensador equivalente. Este condensador equivalente es capaz de almacenar una cantidad idéntica de carga que la combinación original cuando se somete a la misma diferencia de potencial. Cuando hay una conexión en paralelo de N condensadores, todos comparten el mismo voltaje entre ellos. La capacitancia equivalente para tal configuración está dada por: <img alt="Equation1" src="/files/ftp_upload/15087/15087_PT_Equation_1.svg" style="text-align: center; height: 14px;"> Es crucial tener en cuenta que la capacitancia equivalente de N capacitores conectados en paralelo es igual al total de sus capacitancias individuales. Pasando ahora al escenario en el que N condensadores están interconectados en serie, se observa que la misma corriente i, y en consecuencia la misma carga, fluye a través de todos los condensadores. La capacitancia equivalente de esta configuración se representa como: <img alt="Equation2" src="/files/ftp_upload/15087/15087_PT_Equation_2.svg" style="text-align: center; height: 32px;"> A diferencia de la configuración en paralelo, la capacitancia equivalente de los capacitores conectados en serie se calcula como el recíproco de la suma de los recíprocos de la capacitancia individual de cada capacitor.

Capacitancia equivalente

Considere una red de condensadores compleja con tres grupos de condensadores conectados en paralelo, y estos grupos se conectan en serie entre sí. ...

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

Energy Storage Elements

Elementos de almacenamiento de energía

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

capacitors in series and parallel

Capacitors in series and parallel can be simplified by replacing the group with one equivalent capacitor. This equivalent capacitor stores the same charge as the original network when the same potential difference is applied. The idea helps make complex capacitor circuits easier to analyze.

In a parallel connection, capacitors share the same voltage across each branch. The equivalent capacitance of N capacitors in parallel is the sum of their individual capacitances. This type of connection increases the total ability of the circuit to store charge.

In a series connection, the same current flows through each capacitor, and the same charge passes through them. The equivalent capacitance for N capacitors in series is found from the reciprocal of the sum of the reciprocals of each capacitance. This result is different from the parallel case and gives a smaller effective capacitance.

Capacitors in Series and Parallel

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Capacitors in series and parallel can be simplified by replacing the group with one equivalent capacitor. This equivalent capacitor stores the same charge as the original network when the same potential difference is applied. The idea helps make complex capacitor circuits easier to analyze. In a parallel connection, capacitors share the same voltage across each branch. The equivalent capacitance of N capacitors in parallel is the sum of their individual capacitances. This type of connection...

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key terms and concepts

Learn how capacitors behave in series and parallel, and how to find equivalent capacitance by adding capacitances in parallel or using reciprocals in series.

Capacitors in Series and Parallel | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

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Capacitors in Series and Parallel

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